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Finding the Fourth Proportional to 259,609.60, 389,516.80 and 101,811.20

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Solution

The fourth proportional to 259,609.60, 389,516.80 and 101,811.20 is: 152,756.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,609.60 : 389,516.80 = 101,811.20 : x
  2. Step 2: Convert to fraction form
    259,609.60/389,516.80 = 101,811.20/x
  3. Step 3: Cross multiply
    259,609.60x = 389,516.80 × 101,811.20
  4. Step 4: Simplify right side
    259,609.60x = 39,657,172,828.16
  5. Step 5: Solve for x
    x = 39,657,172,828.16/259,609.60
  6. Step 6: Final answer
    x = 152,756.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.